Home
Class 12
MATHS
Solve the following second order equatio...

Solve the following second order equations
`(d^(2)y)/(dt^2)= e^(2t)+e^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
`y= (e^(2t))/(4)+e^(-1)+At+B`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 11B)|17 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 11C)|15 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise QUESTIONS FOR PRACTICE OF PART -III (LONG ANSWER TYPE)|9 Videos

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |39 Videos

  • INTEGRATION

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (6 MARK)|4 Videos

Similar Questions

Explore conceptually related problems

Solve the following second order equation (d^2y)/dt^2=e^(2t)+e^(-t)

Solve the following second order equation e^(-x)(d^2y)/dx^2=x

Solve the following second order equation x^2(d^2y)/dx^2+2=0

Solve the following second order equation cosec x (d^2y)/dx^2=x

ARIHANT PUBLICATION-DIFFERENTIAL EQUATION-ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 11A)
  1. Obtain the general solution of the following differential equations. x...

    Text Solution

    |

  2. Obtain the general solution of the following differential equations. t...

    Text Solution

    |

  3. Obtain the general solution of the following differential equations. (...

    Text Solution

    |

  4. Obtain the general solution of the following differential equations. y...

    Text Solution

    |

  5. Solve the following second order equation (d^2y)/dx^2=12x^2+2x

    Text Solution

    |

  6. Solve the following second order equations (d^(2)y)/(dt^2)= e^(2t)+e...

    Text Solution

    |

  7. Solve the following second order equation (d^2y)/(dvartheta^2)=-sinva...

    Text Solution

    |

  8. Solve the following second order equations cosec x(d^(2)y)/(dx^2)=x

    Text Solution

    |

  9. Solve the following second order equation x^2(d^2y)/dx^2+2=0

    Text Solution

    |

  10. Solve the following second order equation secx(d^2y)/dx^2=sin3x

    Text Solution

    |

  11. Solve the following second order equations (d^(2)y)/(dx^2)= sec^(2)x...

    Text Solution

    |

  12. solve:e^-x(d^2y)/dx^2=x

    Text Solution

    |

  13. Find the particular solutions of the following equations subject to th...

    Text Solution

    |

  14. Find the particular solutions of the following equations subject to th...

    Text Solution

    |

  15. Find the particular solutions of the following equations subject to th...

    Text Solution

    |

  16. Find the particular solutions of the following equations subject to th...

    Text Solution

    |

  17. Solve : (dy)/(dx)=sec(x+y)

    Text Solution

    |

  18. Solve : (dy)/(dx)= sin(x+y)+cos(x+y)

    Text Solution

    |

  19. Solve : (dy)/(dx)= cos(x+y)

    Text Solution

    |

  20. Solve the differential equation (dy)/(dx)+1= e^(x+y)

    Text Solution

    |